GCF of 3699/537, 3400/3516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3699/537, 3400/3516 i.e 1/629364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3699/537, 3400/3516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3699/537,3400/3516?
Given fractions are 3699/537,3400/3516
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3699/537,3400/3516, numerators are 3699,3400
Denominators are 537,3516
The GCF of 3699,3400 is 1 .
LCM of 537,3516 is 629364.
The greatest common factor of 3699/537,3400/3516 = [GCF of 3699,3400]/[LCM of 537,3516]= 1/629364
Therefore, the GCF of 3699/537,3400/3516 is 1/629364.
To find the highest common factor of 3699,3400, we have to find the factors of both numbers and list the highest common factor.
The factors of 3699 are 1, 3, 9, 27, 137, 411, 1233, 3699
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The HCF of 3699,3400 is 1.
Lets's calculate GCF of 3699,3400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3699,3400 By Matching Biggest Common Factor Method
Now, list down the factors of 3699
:1,3,9,27,137,411,1233,3699
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Greatest Common Factor
We found the factors 3699,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 3699,3400 is 1.
Lets's calculate LCM of 537,3516
| 3 | 537, 3516 |
| 179, 1172 |
∴ So the LCM of the given numbers is 3 x 179 x 1172 = 629364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629364
Therefore, the GCF of Fractions 3699/537,3400/3516 is 1/629364
Least Common Multiple of 537,3516 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 537,3516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,3516) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(537,3516) x common factors =3 x 1 = 3
LCM(537,3516) = ( 537 × 3516 ) / 3
LCM(537,3516) = 1888092 / 3
LCM(537,3516) = 629364
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FAQs on GCF of Fractions of 3699/537, 3400/3516
1. What is the HCF of 3699,3400?
The HCF of 3699,3400 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3699/537, 3400/3516?
Answer: GCF of Numerators as per given numbers 3699/537, 3400/3516 is
GCF of Numerators i.e. for 3699,3400 is 1
LCM of denominators i.e. for 537,3516 is 629364.
Thus, GCF of Fractions is 1/629364.Finally, GCF of Fractions for 3699/537, 3400/3516 is 1/629364.